%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD009-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 11:55:14 AM UTC 2025
% Result : Unsatisfiable 26.87s 3.81s
% Output : CNFRefutation 26.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named multiply_not_equal_to_b_4)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
~ equalish(multiply(a,X0),b),
inference(cnf,[status(esa)],[multiply_not_equal_to_b_4]) ).
cnf(l0,plain,
~ equalish(multiply(a,multiply(multiplicative_inverse(a),multiply(b,multiplicative_identity))),b),
inference(instantiation,[status(thm)],[30]) ).
cnf(22,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_equality]) ).
cnf(l1,plain,
( ~ equalish(multiply(a,multiply(multiplicative_inverse(a),multiply(b,multiplicative_identity))),multiply(multiplicative_identity,multiply(b,multiplicative_identity)))
| ~ equalish(multiply(multiplicative_identity,multiply(b,multiplicative_identity)),b)
| equalish(multiply(a,multiply(multiplicative_inverse(a),multiply(b,multiplicative_identity))),b) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l41,plain,
( ~ equalish(multiply(multiplicative_identity,multiply(b,multiplicative_identity)),multiply(b,multiplicative_identity))
| ~ equalish(multiply(b,multiplicative_identity),b)
| equalish(multiply(multiplicative_identity,multiply(b,multiplicative_identity)),b) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l48,plain,
( ~ equalish(multiply(b,multiplicative_identity),multiply(multiplicative_identity,b))
| ~ equalish(multiply(multiplicative_identity,b),b)
| equalish(multiply(b,multiplicative_identity),b) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(5,plain,
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
inference(cnf,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(l57,plain,
( ~ defined(b)
| equalish(multiply(multiplicative_identity,b),b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(28,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l58,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(7,plain,
( ~ defined(X0)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X1,X0)) ),
inference(cnf,[status(esa)],[commutativity_multiplication]) ).
cnf(l53,plain,
( ~ defined(b)
| ~ defined(multiplicative_identity)
| equalish(multiply(b,multiplicative_identity),multiply(multiplicative_identity,b)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l66,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(13,plain,
defined(multiplicative_identity),
inference(cnf,[status(esa)],[well_definedness_of_multiplicative_identity]) ).
cnf(l65,plain,
defined(multiplicative_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l42,plain,
( ~ defined(multiply(b,multiplicative_identity))
| equalish(multiply(multiplicative_identity,multiply(b,multiplicative_identity)),multiply(b,multiplicative_identity)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(12,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(multiply(X0,X1)) ),
inference(cnf,[status(esa)],[well_definedness_of_multiplication]) ).
cnf(l44,plain,
( ~ defined(b)
| ~ defined(multiplicative_identity)
| defined(multiply(b,multiplicative_identity)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l80,plain,
defined(multiplicative_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l2,plain,
( ~ equalish(multiply(a,multiply(multiplicative_inverse(a),multiply(b,multiplicative_identity))),multiply(multiply(a,multiplicative_inverse(a)),multiply(b,multiplicative_identity)))
| ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),multiply(b,multiplicative_identity)),multiply(multiplicative_identity,multiply(b,multiplicative_identity)))
| equalish(multiply(a,multiply(multiplicative_inverse(a),multiply(b,multiplicative_identity))),multiply(multiplicative_identity,multiply(b,multiplicative_identity))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(4,plain,
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2)) ),
inference(cnf,[status(esa)],[associativity_multiplication]) ).
cnf(l3,plain,
( ~ defined(a)
| ~ defined(multiplicative_inverse(a))
| ~ defined(multiply(b,multiplicative_identity))
| equalish(multiply(a,multiply(multiplicative_inverse(a),multiply(b,multiplicative_identity))),multiply(multiply(a,multiplicative_inverse(a)),multiply(b,multiplicative_identity))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l45,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(24,plain,
( ~ defined(X0)
| ~ equalish(X1,X2)
| equalish(multiply(X1,X0),multiply(X2,X0)) ),
inference(cnf,[status(esa)],[compatibility_of_equality_and_multiplication]) ).
cnf(l4,plain,
( ~ defined(multiply(b,multiplicative_identity))
| ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| equalish(multiply(multiply(a,multiplicative_inverse(a)),multiply(b,multiplicative_identity)),multiply(multiplicative_identity,multiply(b,multiplicative_identity))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(14,plain,
( ~ defined(X0)
| defined(multiplicative_inverse(X0))
| equalish(X0,additive_identity) ),
inference(cnf,[status(esa)],[well_definedness_of_multiplicative_inverse]) ).
cnf(l6,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a))
| equalish(a,additive_identity) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(29,plain,
~ equalish(a,additive_identity),
inference(cnf,[status(esa)],[a_not_equal_to_additive_identity_3]) ).
cnf(l33,plain,
~ equalish(a,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(27,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l26,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(l29,plain,
( ~ defined(b)
| ~ defined(multiplicative_identity)
| defined(multiply(b,multiplicative_identity)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(6,plain,
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_multiplication]) ).
cnf(l10,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l5,plain,
( ~ defined(b)
| ~ defined(multiplicative_identity)
| defined(multiply(b,multiplicative_identity)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l15,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(l30,plain,
defined(multiplicative_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l12,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l40,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l11,plain,
defined(multiplicative_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l13,plain,
~ equalish(a,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(l9,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l41,l48,l57,l58,l53,l66,l65,l42,l44,l80,l2,l3,l45,l4,l6,l33,l26,l29,l10,l5,l15,l30,l12,l40,l11,l13,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD009-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Jul 20 09:32:49 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % launching worker at depth: 3
% 0.14/0.36 % launching worker at depth: 1
% 0.14/0.36 % launching worker at depth: 2
% 0.14/0.36 % launching worker at depth: 8
% 0.14/0.37 % launching worker at depth: 4
% 0.14/0.37 % launching worker at depth: 5
% 0.14/0.37 % launching worker at depth: 6
% 0.14/0.37 % launching worker at depth: 7
% 0.14/0.37 % launching worker at depth: 9
% 0.14/0.37 % launching worker at depth: 10
% 0.14/0.39 % launching worker at depth: 11
% 1.81/0.65 % launching worker at depth: 12
% 26.87/3.81 % SZS status Theorem for theBenchmark
% 26.87/3.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------